What are the next two terms in the sequence?
5, 16, 27, 38 ...

Answer:

-2 = p

Step-by-step explanation:

-24-8p=4p

Add 8p to each side

-24-8p+8p=4p+8p

-24 = 12p

Divide each side by 12

-24/12 = 12p/12

-2 = p

its B sorry if Im wrong have a nice day

Answer:

I believe it is C

Step-by-step explanation:

First, I decided to use the proportion method. (Before I use this method, let's change [tex]\frac{3}{8}[/tex] into a decimal. So, that will be 0.375.

We know that we can cross multiply in a proportion

[tex]\frac{0.375 cups}{12 cupcakes} = \frac{2cups}{x}[/tex]

0.375x = 24

x = 64

round to tens

60

The number of cupcakes that he could make if he has 2 cups of cocoa is C) 60.

A proportion is an equation in which two ratios are set equal to each other.

Now, it is given that,

12 such cupcakes requires ⅜ of a cup of cocoa

So ratio, cup of cocoa : cupcakes = ⅜ : 12

⇒  cup of cocoa / cupcakes = ⅜ / 12

Now, let x be  the number of cupcakes that he could make if he has 2 cups of cocoa

So ratio,cups of cocoa : number of cupcakes = 2 : x

Hence,By proportionality we get,

cup of cocoa : cupcakes = cup of cocoa : cupcakes

⅜ : 12 = 2 : x

⅜ / 12 = 2 / x

⇒ 0.375/12 = 2 / x

⇒ x = (2x12)/0.375

⇒ x = 24/0.375

⇒ x = 64

hence it is closest  to the number 60.

So,The number of cupcakes that he could make if he has 2 cups of cocoa is C) 60.

More about proportion :

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Answer:

an hour would make it 10, then another 30 minutes added to the 30 would make it 11, so 11:06 pm

Step-by-step explanation:

Answer:

15:20:8

Step-by-step explanation:

You have to find a common factor between 4 and 5 because there are 3 men to 4 women and 5 women for 2 children, those numbers don't directly correlate. The easiest waay would be to multiply 4 and 5.

4 x 5 = 20

So we can correct the first ratio.

3 X 5 = 15

So the ratio of men to women is 15:20.

Now we find the ratio of women to children.

4 x 5 = 20

4 x 2 = 8

The ratio of women to children is 20:8.

Now that we have the same number in each ratio for women, we can combine them.

The ratio of men to women to children is:

15:20:8

Answer:

n > -2

Step-by-step explanation:

7(1 - 2n) < 33 - n

7 - 14n < 33 - n

Subtract 7

-14n < 26 - n

Add n

-13n < 26

Divide by -13

n > -2

Answer:

n > -2

Step-by-step explanation:

Distribution property:

7 - 14n < 33 - n

Bring n over:

7 - 13n < 33

Bring 7 over:

-13n < 26

n > -2

Answer: 13

Step-by-step explanation:

let m = Matt's age

let a = Andy's

:

Write an equation for each statement

:

Matt is four years younger than twice his cousin Andy’s age.

m = 2a - 4

The sum of their ages is greater than 35.

m + a > 35

What is the youngest age that Andy can be?

replace m with (2a-4) from the 1st statement

2a - 4 + a > 35

3a > 35 + 4

a > 39/3

a > 13

least integer has to be a = 14

:

:

Check, find m

m = 2(14) - 4

m = 24

24 + 14 = 38 greater than 35

If a = 13

m = 2(13) - 4

m = 22

22 + 13 = 35 which is not greater than 35

Answer:

[tex]\frac{31}{50}[/tex]

Step-by-step explanation:

First, find how many have an Atlantic or Pacific coastline:

14 + 5

= 19

Then, subtract this from 50:

50 - 19

= 31

This means 31 out of the 50 states have neither coastlines:

This is [tex]\frac{31}{50}[/tex] as a fraction

Answer:

length= 84

width= 36

Answer:

B is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volume of the shipping container = Lengt * Breadth * Height

Given

Length = 4x² + 3x

Breadth = x² – 8

Height = 6x +15

Volume of the container = ( 4x² + 3x)( x² - 8)(6x+15)

( 4x² + 3x)( x² - 8)  = 4x⁴-32x²+3x³-24x

( 4x² + 3x)( x² - 8) = 4x⁴+3x³-32x²-24x

(4x⁴+3x³-32x²-24x)(6x+15) = 24x⁵+60x⁴+18x⁴+45x³-192x³-480x²-144x²-360x

Collect like terms

( 4x² + 3x)( x² - 8)(6x+15) = 24x⁵+78x⁴-147x³-624x²-360x

Hence the standard form polynomial representing the volume of this shipping container is expressed as V = 24x⁵+78x⁴-147x³-624x²-360x

Answer:

V = 24x^5+78x^4-147x^3-624x^2-360x

the answer is $4750.

Answer:

Step-by-step explanation:

If you have the area just divide it by 4 and that will give you the answer .

A square has all equal sides

Answer:

23

Step-by-step explanation:

19346 ÷ 841 = 23.003567.. ( that is 23 with a remainder ), then

23 × 841 = 19343, thus

19346 ÷ 841 = 23 remainder 3

The divisor is 23

Answer:

[tex]s = -\frac{3}{2}[/tex]

Step-by-step explanation:

Solve for the value of [tex]s[/tex] :

[tex]0.5s + 1 = 7 + 4.5s[/tex]

-Combine both [tex]0.5s[/tex] and [tex]4.5s[/tex] by subtracting [tex]0.5s[/tex] by [tex]4.5s[/tex] :

[tex]0.5s + 1 - 4.5s = 7 + 4.5s - 4.5s[/tex]

[tex]-4s + 1 = 7[/tex]

-Subtract [tex]1[/tex] to both sides:

[tex]-4s + 1 - 1 = 7 - 1[/tex]

[tex]-4s = 6[/tex]

-Divide both sides by [tex]-4[/tex] :

[tex]\frac{-4s}{-4} = \frac{6}{-4}[/tex]

[tex]s = -\frac{3}{2}[/tex]

So, the value of [tex]s[/tex] is [tex]-\frac{3}{2}[/tex].

Answer:

If the overall diagram is 54 and one section of that whole diagram is 31 all we have to do is subtract the overall to the one section to find the other section.

Step-by-step explanation:

So...

54-31=23

Answer:

Step-by-step explanation:

let length=l

breadth=b

l×b=660

2(l+b)=104

l+b=104/2=52

b=52-l

l×(52-l)=660

52l-l²=660

l²-52l+660=0

l²-22l-30l+660=0

l(l-22)-30(l-22)=0

(l-22)(l-30)=0

l=22,30

when l=22,b=52-22=30

when l=30,b=52-30=22

l>b

so l=30m

b=22m

Answer:

W = 22 m

L = 30 m

Step-by-step explanation:

given:

area is 660square metre and perimeter is 104metre​

find:

the length and breadth of a rectangular plot

----------------------------------------------------------------

1. area of rectangle (A) = L x W

2. Perimeter of a rectangle (P) = 2L + 2W

where:

A = 660 m²

P = 104 m

solve for L using formula 1.

A = L x W

660 = L x W

L =  660 / W

solve W using formula 2 and use L = 660 / W

P = 2L + 2W

104 = 2 (660)  +  2W

               W

104W = 1320 + 2 W²

-2W² + 104W = 1320

solve W using quadratic equation:

W = 22 m; ( 30 m = L)

plugin W=22 into L =  660 / W to solve L:

L = 660 / 22

L = 30 m

Answer:

$17

Step-by-step explanation:

Step 1:

20 : 100 = x : 85

Step 2:

100x = 1700

Answer:

x = 17

Hope This Helps :)

Answer:

$100= 20lbs

$1= (20/100)lbs

$85= 85*(20/100)lbs

= 85(1/5)lbs

= 17 lbs

Answer:

(Negative 6) (4) + (negative 6) (two-thirds

Answer:

If it was 9:38 it would be 10:08

Step-by-step explanation:

Adding 30 to 38 would be 68. And since an hour is only 60 minuets long you would change the hour to 10 and add the 8 minuets.

Hope this helped! :))

Answer:

C -2 < x ≤ 1

Step-by-step explanation:

-5< 4x +3 ≤ 7

Subtract 3 from all sides

-5-3< 4x +3-3 ≤ 7-3

-8< 4x  ≤ 4

Divide all sides by 4

-8/4< 4x/4  ≤ 4/4

-2 < x ≤ 1

Answer:

1

Step-by-step explanation:

Answer:

[tex]y=4-3x[/tex]

Step-by-step explanation:

[tex]3x+y=4[/tex]

Subtract 3x from both sides:

[tex]3x+y-3x=4-3x[/tex]

[tex]y=4-3x[/tex]

Answer:

its answer is

y=4-3x ok

Answer:

It would be 125 spread in each square yard.

Step-by-step explanation:

Answer:

[tex]MP= (5,4)[/tex]

Step-by-step explanation:

[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )[/tex]

[tex]MP= (\frac{2+8}{2} )(\frac{8+0}{2} )[/tex] 2+8=10 8+0=8

[tex]MP= (\frac{10}{2} )(\frac{8}{2})[/tex] 10/2=5 8/2=4

[tex]MP= (5,4)[/tex]

Given :

Peter velocity , P = 30 mph .

Mitchell velocity , M = 40 mph .

Mitchell leaves 15 min later .

To Find :

If they drive along the same route how long will it take Mitchell to catch Peter.

Solution :

Distance covered by Peter in 15 min .

[tex]D = 30\times \dfrac{15}{60}=7.5\ miles[/tex]

Let , time taken is x .

So , distance covered b them is equal :

[tex]7.5+30\times x=40\times x\\\\x=\dfrac{7.5}{10}=0.75\ hours\\\\x=0.75\times 60\ min\\\\x=45\ min[/tex]

Therefore , time taken by them is 45 minutes .

Hence , this is the required solution .

Answer:

8

Step-by-step explanation:

the anwser is you use the formal